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Finding the Fourth Proportional to 6,803.70, 10,195.83 and 5,071.38

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Solution

The fourth proportional to 6,803.70, 10,195.83 and 5,071.38 is: 7,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.70 : 10,195.83 = 5,071.38 : x
  2. Step 2: Convert to fraction form
    6,803.70/10,195.83 = 5,071.38/x
  3. Step 3: Cross multiply
    6,803.70x = 10,195.83 × 5,071.38
  4. Step 4: Simplify right side
    6,803.70x = 51,706,928.35
  5. Step 5: Solve for x
    x = 51,706,928.35/6,803.70
  6. Step 6: Final answer
    x = 7,599.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.